{"id":63079,"date":"2022-11-19T15:00:00","date_gmt":"2022-11-19T09:30:00","guid":{"rendered":"https:\/\/leverageedu.com\/blog\/?p=63079"},"modified":"2025-11-26T16:34:33","modified_gmt":"2025-11-26T11:04:33","slug":"bodmas-questions","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/","title":{"rendered":"BODMAS Questions: Tips, Tricks, and Practice Questions"},"content":{"rendered":"\n<p>Mathematics can often seem overwhelming, especially when dealing with complex expressions that involve multiple operations. The BODMAS rule is an essential concept that helps break down these challenges by explaining the correct order of operations in mathematical expressions. It is widely used to simplify equations and reduce calculation time, making it crucial to master this concept from the outset.<\/p>\n\n\n\n<p>Whether you are a student learning math or preparing for competitive exams like the SAT, GMAT, or GRE, having a solid grasp of BODMAS is critical to solving problems accurately and efficiently. This blog provides a comprehensive guide to BODMAS questions, offering valuable practice to help you build a solid foundation in this essential mathematical skill.<\/p>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-bodmas\"><span id=\"what-is-bodmas\">What is BODMAS?<\/span><\/h2>\n\n\n\n<p>BODMAS is an acronym used in mathematics to remember the correct order of operations while solving expressions. It stands for:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>B: Brackets<\/li>\n\n\n\n<li>O: Order of Indices (powers, roots, and likewise.)<\/li>\n\n\n\n<li>D: Division<\/li>\n\n\n\n<li>M: Multiplication<\/li>\n\n\n\n<li>A: Addition<\/li>\n\n\n\n<li>S: Subtraction<\/li>\n<\/ul>\n\n\n\n<p>Following the BODMAS rule ensures that every equation is solved in the right sequence, giving accurate results. Without it, solving expressions randomly may lead to mistakes.<\/p>\n\n\n\n<p>The golden rule is:<\/p>\n\n\n\n<p>B \u279d O \u279d D \u279d M \u279d A \u279d S<\/p>\n\n\n\n<p>Start with brackets, then indices, followed by division, multiplication, addition, and finally subtraction. This sequence helps<\/p>\n\n\n\n<p><strong>Step-by-Step Explanation<\/strong><\/p>\n\n\n\n<p>Now, let\u2019s break down each step of BODMAS to understand how it works in solving mathematical expressions.<br><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Letters<\/strong><\/td><td><strong>Steps<\/strong><\/td><\/tr><tr><td><strong>B (Brackets)<\/strong><\/td><td>Solve everything inside brackets first<\/td><\/tr><tr><td><strong>O (Orders\/Indices)<\/strong><\/td><td>Work out powers, squares, cubes, or roots<\/td><\/tr><tr><td><strong>D (Division)<\/strong><\/td><td>Divide the numbers given in the expression<\/td><\/tr><tr><td><strong>M (Multiplication)<\/strong><\/td><td>Multiply the numbers next<\/td><\/tr><tr><td><strong>A (Addition)<\/strong><\/td><td>Add the numbers that follow<\/td><\/tr><tr><td><strong>S (Subtraction)<\/strong><\/td><td>Subtract the remaining numbers at the end<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<p><strong>Solve 8 + (6 \u00f7 2) \u00d7 3<\/strong><\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Brackets first<\/p>\n\n\n\n<p>Inside the bracket, we have 6 \u00f7 2.<\/p>\n\n\n\n<p>6 \u00f7 2 = 3<\/p>\n\n\n\n<p>Now the expression becomes:<\/p>\n\n\n\n<p>8 + 3 \u00d7 3<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiplication\/Division (from left to right)<\/p>\n\n\n\n<p>Next, multiply 3 \u00d7 3 = 9<\/p>\n\n\n\n<p>Now the expression becomes:<\/p>\n\n\n\n<p>8 + 9<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Addition\/Subtraction<\/p>\n\n\n\n<p>8 + 9 = 17<br><br><\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Explore:<\/strong><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/study-prep-maths-questions-for-class-9\/\"><strong> Maths Questions for Class 9 with Answers for Competitive Exams<\/strong><\/a><\/p>\n\n\n\n<h2 id=\"understanding-the-components-of-bodmas\" class=\"wp-block-heading\">Understanding the Components of BODMAS<\/h2>\n\n\n\n<p>BODMAS helps us determine the correct order of operations in any mathematical expression. Let\u2019s break down each component:<\/p>\n\n\n\n<h3 id=\"1-brackets\" class=\"wp-block-heading\">1. Brackets<\/h3>\n\n\n\n<p>Brackets indicate the operations that must be done first. There are three types:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Parentheses ( ): Used for basic grouping of numbers or operations.<br><br><strong>Example:<\/strong> (3 + 5) \u00d7 2.<br><\/li>\n\n\n\n<li>Square brackets [ ]: Used when parentheses are already present.<br><br><strong>Example: <\/strong>[2 \u00d7 (3 + 4)].<br><\/li>\n\n\n\n<li>Curly braces { }: Rarely used but helpful for multiple layers of nesting.<br><br><strong>Example:<\/strong> {2 + [3 \u00d7 (4 + 1)]}.<\/li>\n<\/ul>\n\n\n\n<h3 id=\"2-orders-exponents\" class=\"wp-block-heading\">2. Orders (Exponents)<\/h3>\n\n\n\n<p>Orders refer to powers and roots. This includes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Exponents:<\/strong> Squaring a number<br> <br>(<strong>Example<\/strong>, 22=42^2 = 422=4) or cubing a number <br>(<strong>Example<\/strong>, 33=273^3 = 2733=27).<br><\/li>\n\n\n\n<li><strong>Roots:<\/strong> Square roots or cube roots (Example: 9=3\\sqrt{9} = 39\u200b=3).<\/li>\n<\/ul>\n\n\n\n<h3 id=\"3-division-and-multiplication\" class=\"wp-block-heading\">3. Division and Multiplication<\/h3>\n\n\n\n<p>Division (\u00f7) and multiplication (\u00d7) have equal priority. Solve them from left to right as they appear.<\/p>\n\n\n\n<p><strong>Example:<\/strong> 8 \u00f7 2 \u00d7 3 \u2192 First divide 8 \u00f7 2 = 4, then multiply 4 \u00d7 3 = 12.<\/p>\n\n\n\n<h3 id=\"4-addition-and-subtraction\" class=\"wp-block-heading\">4. Addition and Subtraction<\/h3>\n\n\n\n<p>Addition (+) and subtraction (\u2212) also share the same priority. Solve them from left to right after completing brackets, exponents, division, and multiplication.<\/p>\n\n\n\n<p><strong>Example:<\/strong> 10 \u2212 4 + 2 \u2192 First subtract 10 \u2212 4 = 6, then add 6 + 2 = 8.<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-maths-questions-for-class-7\/\"><strong>Must-Know Maths Questions for Class 7 Students<\/strong><\/a><\/p>\n\n\n\n<h2 id=\"symbols-for-each-component-of-bodmas\" class=\"wp-block-heading\">Symbols for Each Component of BODMAS<\/h2>\n\n\n\n<p>To make BODMAS easier to follow, here is a quick reference table. It shows each letter, its corresponding component, and the symbols used in mathematical expressions.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Letter<\/strong><\/td><td><strong>Component<\/strong><\/td><td><strong>Symbols<\/strong><\/td><\/tr><tr><td><strong>B<\/strong><\/td><td>Brackets<\/td><td>( ), { }, [ ]<\/td><\/tr><tr><td><strong>O<\/strong><\/td><td>Order<\/td><td>Square roots, indices, exponents, powers<\/td><\/tr><tr><td><strong>D<\/strong><\/td><td>Division<\/td><td>\u00f7, \/<\/td><\/tr><tr><td><strong>M<\/strong><\/td><td>Multiplication<\/td><td>\u00d7, *<\/td><\/tr><tr><td><strong>A<\/strong><\/td><td>Addition<\/td><td>+<\/td><\/tr><tr><td><strong>S<\/strong><\/td><td>Subtraction<\/td><td>\u2013<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 id=\"question-categories-for-bodmas\" class=\"wp-block-heading\">Question Categories for BODMAS<\/h2>\n\n\n\n<p>To master BODMAS, \u2018Question Categories for BODMAS\u2019 helps to practice different types of questions that focus on each operation and their combinations. These categories guide students from simple calculations to more complex expressions. Understanding the types of questions also improves speed, accuracy, and confidence in solving problems.<\/p>\n\n\n\n<h3 id=\"1-basic-level-elementary\" class=\"wp-block-heading\">1. Basic-Level (Elementary)<\/h3>\n\n\n\n<p>To help students grasp the Basic Level concepts clearly, the following table breaks down the key aspects of BODMAS and how it applies to simple arithmetic problems.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Target Age<\/strong><\/td><td>8\u201310 years<\/td><\/tr><tr><td><strong>Objective<\/strong><\/td><td>Teach students the correct order of operations in simple arithmetic problems, ensuring they solve calculations accurately.<\/td><\/tr><tr><td><strong>Operations Covered<\/strong><\/td><td>Addition (+), Subtraction (\u2212), Multiplication (\u00d7), Division (\u00f7)<\/td><\/tr><tr><td><strong>Purpose<\/strong><\/td><td>Introduce students to BODMAS in straightforward calculations. Emphasize that multiplication and division must be performed before addition and subtraction, and brackets are solved first.<\/td><\/tr><tr><td><strong>Key Concept<\/strong><\/td><td>BODMAS stands for Brackets, Orders (powers), Division, Multiplication, Addition, Subtraction. Students should follow this order step by step.<\/td><\/tr><tr><td><strong>Learning Approach<\/strong><\/td><td>Start with small numbers and simple expressions. Encourage identifying brackets and operations first, then solving calculations sequentially.<\/td><\/tr><tr><td><strong>Importance<\/strong><\/td><td>Builds a strong foundation for arithmetic and prepares students for more complex expressions in higher grades. Encourages logical, step-by-step problem solving.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Sample Question Sets with Step-by-Step Solutions for Basic-Level BODMAS<\/p>\n\n\n\n<p><strong>Question 1: 5 + 3 \u00d7 2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<br><strong><br><\/strong>Step 1: Identify operations \u2192 Addition (+) and Multiplication (\u00d7)<br>Step 2: Follow BODMAS \u2192 Multiplication first \u2192 3 \u00d7 2 = 6<br>Step 3: Then addition \u2192 5 + 6 = 11<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 11<\/p>\n\n\n\n<p><strong>Question 2: (4 + 6) \u00d7 2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Brackets first \u2192 4 + 6 = 10<br>Step 2: Then multiply \u2192 10 \u00d7 2 = 20<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 20<\/p>\n\n\n\n<p><strong>Question 3: 12 \u00f7 3 + 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<br><br>Step 1: Division first \u2192 12 \u00f7 3 = 4<br>Step 2: Then addition \u2192 4 + 4 = 8<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 8<\/p>\n\n\n\n<p><strong>Question 4: 7 \u00d7 2 \u2212 5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Multiplication first \u2192 7 \u00d7 2 = 14<br>Step 2: Then subtraction \u2192 14 \u2212 5 = 9<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 9<\/p>\n\n\n\n<p><strong>Question 5: (8 \u2212 3) + 6<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve bracket \u2192 8 \u2212 3 = 5<br>Step 2: Then addition \u2192 5 + 6 = 11<\/p>\n\n\n\n<p><strong>Answer: <\/strong>11<\/p>\n\n\n\n<p><strong>Question 6: 9 + 12 \u00f7 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Division first \u2192 12 \u00f7 4 = 3<br>Step 2: Then addition \u2192 9 + 3 = 12<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 12<\/p>\n\n\n\n<p><strong>Question 7: (5 + 7) \u00f7 3<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve bracket \u2192 5 + 7 = 12<br>Step 2: Division \u2192 12 \u00f7 3 = 4<\/p>\n\n\n\n<p><strong>Answer: <\/strong>4<\/p>\n\n\n\n<p><strong>Question 8: 6 \u00d7 2 + 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Multiplication \u2192 6 \u00d7 2 = 12<br>Step 2: Then addition \u2192 12 + 4 = 16<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 16<\/p>\n\n\n\n<p><strong>Question 9: 15 \u2212 9 \u00f7 3<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Division \u2192 9 \u00f7 3 = 3<\/p>\n\n\n\n<p>Step 2: Subtract \u2192 15 \u2212 3 = 12<\/p>\n\n\n\n<p><strong>Answer: <\/strong>12<\/p>\n\n\n\n<p><strong>Question 10: (3 + 5) \u00d7 (2 + 1)<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve first bracket \u2192 3 + 5 = 8<br>Step 2: Solve the second bracket \u2192 2 + 1 = 3<br>Step 3: Multiply \u2192 8 \u00d7 3 = 24<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 24<\/p>\n\n\n\n<p><strong>Question 11: 5 + 6 \u00d7 2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Multiply \u2192 6 \u00d7 2 = 12<br>Step 2: Add \u2192 5 + 12 = 17<\/p>\n\n\n\n<p><strong>Answer: <\/strong>17<\/p>\n\n\n\n<p><strong>Question 12: (4 + 3) \u00d7 5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve bracket \u2192 4 + 3 = 7<br>Step 2: Multiply \u2192 7 \u00d7 5 = 35<\/p>\n\n\n\n<p><strong>Answer: <\/strong>35<\/p>\n\n\n\n<p><strong>Question 13: 12 \u00f7 3 + 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Divide \u2192 12 \u00f7 3 = 4<br>Step 2: Add \u2192 4 + 4 = 8<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 8<\/p>\n\n\n\n<p><strong>Question 14: 9 \u2212 2 \u00d7 3<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Multiply \u2192 2 \u00d7 3 = 6<br>Step 2: Subtract \u2192 9 \u2212 6 = 3<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 3<\/p>\n\n\n\n<p><strong>Question 15: (6 \u2212 2) \u00d7 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve bracket \u2192 6 \u2212 2 = 4<br>Step 2: Multiply \u2192 4 \u00d7 4 = 16<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 16<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-class-8-maths-mcqs-with-answers\/\"><strong>Class 8 Maths MCQs with Answers for Competitive Exams: Download PDF<\/strong><\/a><\/p>\n\n\n\n<h3 id=\"2-intermediate-level-middle-school\" class=\"wp-block-heading\">2. Intermediate Level (Middle School)<\/h3>\n\n\n\n<p>As students progress, the Intermediate Level introduces more complex expressions with multiple operations, brackets, and powers, helping them gain confidence in solving larger problems.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Target Age<\/strong><\/td><td>11\u201314 years<\/td><\/tr><tr><td><strong>Objective<\/strong><\/td><td>Build confidence in handling multiple operations in one expression while following the BODMAS rule correctly.<\/td><\/tr><tr><td><strong>Operations Covered<\/strong><\/td><td>Addition (+), Subtraction (\u2212), Multiplication (\u00d7), Division (\u00f7), Exponents\/Powers (\u00b2, \u00b3, etc.)<\/td><\/tr><tr><td><strong>Question Types<\/strong><\/td><td>&#8211; Multiple brackets: (8 + 2) \u00d7 (6 \u2212 4)- Powers\/Exponents: 2\u00b3 + 4 \u00d7 5- Nested brackets: 3 \u00d7 (4 + (2 \u00d7 5))- Fraction operations: \u00bd + \u00be \u00d7 2<\/td><\/tr><tr><td><strong>Purpose<\/strong><\/td><td>Teach students to handle expressions with more than one operation, emphasising the correct sequence using BODMAS.<\/td><\/tr><tr><td><strong>Key Concept<\/strong><\/td><td>Students must solve innermost brackets first, then apply powers\/exponents, followed by multiplication\/division, and finally addition\/subtraction.<\/td><\/tr><tr><td><strong>Learning Approach<\/strong><\/td><td>Use step-by-step solutions with small and moderate numbers. Introduce fractions and exponents gradually to reinforce the concept of operation order.<\/td><\/tr><tr><td><strong>Importance<\/strong><\/td><td>Prepares students for higher-level math by improving accuracy and logical thinking, and sets the stage for advanced expressions and problem-solving in competitive exams.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Sample Question Sets with Step-by-Step Solutions for Basic-Level BODMAS<\/p>\n\n\n\n<p><strong>Question 1: (8 + 2) \u00d7 (6 \u2212 4)<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve first bracket \u2192 8 + 2 = 10<br>Step 2: Solve second bracket \u2192 6 \u2212 4 = 2<br>Step 3: Multiply \u2192 10 \u00d7 2 = 20<\/p>\n\n\n\n<p><strong>Answer: <\/strong>20<\/p>\n\n\n\n<p><strong>Question 2: 2\u00b3 + 4 \u00d7 5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Powers first \u2192 2\u00b3 = 8<br>Step 2: Multiply \u2192 4 \u00d7 5 = 20<br>Step 3: Add \u2192 8 + 20 = 28<\/p>\n\n\n\n<p><strong>Answer: <\/strong>28<\/p>\n\n\n\n<p><strong>Question 3: 3 \u00d7 (4 + (2 \u00d7 5))<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve innermost bracket \u2192 2 \u00d7 5 = 10<br>Step 2: Solve next bracket \u2192 4 + 10 = 14<br>Step 3: Multiply \u2192 3 \u00d7 14 = 42<\/p>\n\n\n\n<p><strong>Answer:<\/strong> 42<\/p>\n\n\n\n<p><strong>Question 4: \u00bd + \u00be \u00d7 2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Multiply fraction \u2192 \u00be \u00d7 2 = 3\/2 = 1.5<br>Step 2:<strong> <\/strong>Add \u2192 \u00bd + 1.5 = 0.5 + 1.5 = 2<\/p>\n\n\n\n<p><strong>Answer: 2<\/strong><\/p>\n\n\n\n<p><strong>Question 5: (7 \u2212 3)\u00b2 + 5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<br><br>Step 1: Bracket \u2192 7 \u2212 3 = 4<br>Step 2: Square \u2192 4\u00b2 = 16<br>Step 3: Add \u2192 16 + 5 = 21<\/p>\n\n\n\n<p><strong>Answer: <\/strong>21<\/p>\n\n\n\n<p><strong>Question 6: 5 \u00d7 (2 + 3\u00b2)<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<p>Step 1: Solve power \u2192 3\u00b2 = 9<\/p>\n\n\n\n<p>Step 2: Bracket \u2192 2 + 9 = 11<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 3: Multiply \u2192 5 \u00d7 11 = 55<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 55<\/p>\n\n\n\n<p><strong>Question 7: (10 \u00f7 2) + (6 \u00d7 3)<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Division \u2192 10 \u00f7 2 = 5<\/li>\n\n\n\n<li>Step 2: Multiplication \u2192 6 \u00d7 3 = 18<\/li>\n\n\n\n<li>Step 3: Add \u2192 5 + 18 = 23<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer: <\/strong>23<\/p>\n\n\n\n<p><strong>Question 8: 4 \u00d7 (3 + 2\u00b2) \u2212 5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Power \u2192 2\u00b2 = 4<\/li>\n\n\n\n<li>Step 2: Bracket \u2192 3 + 4 = 7<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 4 \u00d7 7 = 28<\/li>\n\n\n\n<li>Step 4: Subtract \u2192 28 \u2212 5 = 23<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 23<\/p>\n\n\n\n<p><strong>Question 9: (6 + 2 \u00d7 3) \u00f7 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Brackets \u2192 inside \u2192 2 \u00d7 3 = 6 \u2192 6 + 6 = 12<\/li>\n\n\n\n<li>Step 2: Divide \u2192 12 \u00f7 4 = 3<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 3<\/p>\n\n\n\n<p><strong>Question 10: (1 + 2) \u00d7 (3 + 4) \u00f7 7<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: First bracket \u2192 1 + 2 = 3<\/li>\n\n\n\n<li>Step 2: Second bracket \u2192 3 + 4 = 7<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 3 \u00d7 7 = 21<\/li>\n\n\n\n<li>Step 4: Divide \u2192 21 \u00f7 7 = 3<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 3<\/p>\n\n\n\n<p><strong>Question 11: (8 + 2) \u00d7 (6 \u2212 4)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step-by-Step Solution:<\/li>\n\n\n\n<li>Step 1: Solve first bracket \u2192 8 + 2 = 10<\/li>\n\n\n\n<li>Step 2: Solve second bracket \u2192 6 \u2212 4 = 2<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 10 \u00d7 2 = 20<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 20<\/p>\n\n\n\n<p><strong>Question 12: 2\u00b3 + 4 \u00d7 5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Solve exponent \u2192 2\u00b3 = 8<\/li>\n\n\n\n<li>Step 2: Multiply \u2192 4 \u00d7 5 = 20<\/li>\n\n\n\n<li>Step 3: Add \u2192 8 + 20 = 28<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer: <\/strong>28<\/p>\n\n\n\n<p><strong>Question 13: 3 \u00d7 (4 + (2 \u00d7 5))<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Solve innermost bracket \u2192 2 \u00d7 5 = 10<\/li>\n\n\n\n<li>Step 2: Solve outer bracket \u2192 4 + 10 = 14<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 3 \u00d7 14 = 42<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 42<\/p>\n\n\n\n<p><strong>Question 14: \u00bd + \u00be \u00d7 2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Multiply \u2192 \u00be \u00d7 2 = 3\/2 = 1.5<\/li>\n\n\n\n<li>Step 2: Add \u2192 \u00bd + 1.5 = 0.5 + 1.5 = 2<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 2<\/p>\n\n\n\n<p><strong>Question 15: (6 \u2212 2)\u00b2 + 3 \u00d7 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Solve bracket \u2192 6 \u2212 2 = 4<\/li>\n\n\n\n<li>Step 2: Solve exponent \u2192 4\u00b2 = 16<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 3 \u00d7 4 = 12<\/li>\n\n\n\n<li>Step 4: Add \u2192 16 + 12 = 28<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 28<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Explore:<\/strong><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/study-prep-maths-questions-for-class-9\/\"><strong> Maths Questions for Class 9 with Answers for Competitive Exams: Download Free PDF<\/strong><\/a><\/p>\n\n\n\n<h3 id=\"3-advanced-level-high-school\" class=\"wp-block-heading\">3. Advanced Level (High School)<\/h3>\n\n\n\n<p>As students reach the Advanced Level, they encounter complex nested expressions, decimals, fractions, powers, and scientific notation. This requires both accuracy and speed for higher-level mathematics and competitive exams.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Target Age<\/strong><\/td><td>15+ years.<\/td><\/tr><tr><td><strong>Objective<\/strong><\/td><td>Strengthen accuracy and speed while solving complex expressions. Prepare students for competitive exams and advanced mathematics.<\/td><\/tr><tr><td><strong>Operations Covered<\/strong><\/td><td>All basic operations (Addition +, Subtraction \u2212, Multiplication \u00d7, Division \u00f7). Includes Brackets, Powers\/Exponents, Decimals, Fractions, and Scientific Notation.<\/td><\/tr><tr><td><strong>Question Types<\/strong><\/td><td>&#8211; Complex nested expressions: 2 \u00d7 [3 + (4 \u00d7 5 \u2212 2\u00b2)].- Decimal operations: 3.5 \u00d7 (2.1 + 1.4)\u00b2.- Mixed fractions and decimals: (5 + \u00be) \u00d7 2 \u2212 1.5.- Scientific notation with BODMAS: 2 \u00d7 10\u00b3 \u00f7 (5 \u00d7 2).<\/td><\/tr><tr><td><strong>Purpose<\/strong><\/td><td>Train students to handle multi-step calculations involving decimals, fractions, powers, and scientific notation. Ensure strict application of BODMAS.<\/td><\/tr><tr><td><strong>Key Concept<\/strong><\/td><td>Solve innermost brackets first. Then apply powers\/exponents. Follow with multiplication\/division. Complete addition\/subtraction at the end. Decimals, fractions, and scientific notation are included in the operation sequence.<\/td><\/tr><tr><td><strong>Learning Approach<\/strong><\/td><td>Use step-by-step reasoning for nested operations. Convert fractions and scientific notation to decimals for easier calculation. Emphasize checking each step for accuracy.<\/td><\/tr><tr><td><strong>Importance<\/strong><\/td><td>Develop precision, logical thinking, and speed. These skills are crucial for high school exams, competitive tests, and advanced mathematics.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Sample Question Sets with Step-by-Step Solutions for Advanced Level<\/strong><\/p>\n\n\n\n<p><strong>Question 1: 2 \u00d7 [3 + (4 \u00d7 5 \u2212 2\u00b2)]<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Solve innermost bracket \u2192 4 \u00d7 5 = 20<\/li>\n\n\n\n<li>Step 2: Subtract exponent \u2192 2\u00b2 = 4 \u2192 20 \u2212 4 = 16<\/li>\n\n\n\n<li>Step 3: Add outer bracket \u2192 3 + 16 = 19<\/li>\n\n\n\n<li>Step 4: Multiply \u2192 2 \u00d7 19 = 38<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 38<\/p>\n\n\n\n<p><strong>Question 2: 3.5 \u00d7 (2.1 + 1.4)\u00b2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Bracket \u2192 2.1 + 1.4 = 3.5<\/li>\n\n\n\n<li>Step 2: Square \u2192 3.5\u00b2 = 12.25<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 3.5 \u00d7 12.25 = 42.875<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer: <\/strong>42.875<\/p>\n\n\n\n<p><strong>Question 3: (5 + \u00be) \u00d7 2 \u2212 1.5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Convert fraction \u2192 5 + \u00be = 5.75<\/li>\n\n\n\n<li>Step 2: Multiply \u2192 5.75 \u00d7 2 = 11.5<\/li>\n\n\n\n<li>Step 3: Subtract \u2192 11.5 \u2212 1.5 = 10<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer: <\/strong>10<\/p>\n\n\n\n<p><strong>Question 4: [(6 \u00f7 2) + (3 \u00d7 2)]\u00b2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Division \u2192 6 \u00f7 2 = 3<\/li>\n\n\n\n<li>Step 2: Multiplication \u2192 3 \u00d7 2 = 6<\/li>\n\n\n\n<li>Step 3: Add brackets \u2192 3 + 6 = 9<\/li>\n\n\n\n<li>Step 4: Square \u2192 9\u00b2 = 81<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer: <\/strong>81<\/p>\n\n\n\n<p><strong>Question 5: 1.2 + 3 \u00d7 (0.5 + 2.8)<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Bracket \u2192 0.5 + 2.8 = 3.3<\/li>\n\n\n\n<li>Step 2: Multiply \u2192 3 \u00d7 3.3 = 9.9<\/li>\n\n\n\n<li>Step 3: Add \u2192 1.2 + 9.9 = 11.1<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 11.1<\/p>\n\n\n\n<p><strong>Question 6: 2 \u00d7 10\u00b3 \u00f7 (5 \u00d7 2)<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Multiply bracket \u2192 5 \u00d7 2 = 10<\/li>\n\n\n\n<li>Step 2: Scientific notation \u2192 2 \u00d7 10\u00b3 = 2000<\/li>\n\n\n\n<li>Step 3: Divide \u2192 2000 \u00f7 10 = 200<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 200<\/p>\n\n\n\n<p><strong>Question 7: (7.5 \u2212 2.5) \u00d7 (1.2 + 0.8)\u00b2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Brackets \u2192 7.5 \u2212 2.5 = 5; 1.2 + 0.8 = 2<\/li>\n\n\n\n<li>Step 2: Square \u2192 2\u00b2 = 4<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 5 \u00d7 4 = 20<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 20<\/p>\n\n\n\n<p><strong>Question 8: 4.5 \u00f7 (0.5 + 1.5) + 3\u00b2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Bracket \u2192 0.5 + 1.5 = 2<\/li>\n\n\n\n<li>Step 2: Divide \u2192 4.5 \u00f7 2 = 2.25<\/li>\n\n\n\n<li>Step 3: Square \u2192 3\u00b2 = 9<\/li>\n\n\n\n<li>Step 4: Add \u2192 2.25 + 9 = 11.25<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 11.25<\/p>\n\n\n\n<p><strong>Question 9: (2\/3 + 1\/4) \u00d7 12<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Find LCM \u2192 2\/3 + 1\/4 = 8\/12 + 3\/12 = 11\/12<\/li>\n\n\n\n<li>Step 2: Multiply \u2192 (11\/12) \u00d7 12 = 11<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 11<\/p>\n\n\n\n<p><strong>Question 10: 5 \u00d7 [2 + (3 \u00d7 4 \u2212 5) \u00f7 3]<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Innermost bracket \u2192 3 \u00d7 4 = 12<\/li>\n\n\n\n<li>Step 2: Subtract \u2192 12 \u2212 5 = 7<\/li>\n\n\n\n<li>Step 3: Divide \u2192 7 \u00f7 3 \u2248 2.333<\/li>\n\n\n\n<li>Step 4: Add \u2192 2 + 2.333 \u2248 4.333<\/li>\n\n\n\n<li>Step 5: Multiply \u2192 5 \u00d7 4.333 \u2248 21.665<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> \u2248 21.665<\/p>\n\n\n\n<p><strong>Question 11: 2 \u00d7 [3 + (4 \u00d7 5 \u2212 2\u00b2)]<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Solve exponent \u2192 2\u00b2 = 4<\/li>\n\n\n\n<li>Step 2: Multiply inside bracket \u2192 4 \u00d7 5 = 20<\/li>\n\n\n\n<li>Step 3: Subtract \u2192 20 \u2212 4 = 16<\/li>\n\n\n\n<li>Step 4: Add \u2192 3 + 16 = 19<\/li>\n\n\n\n<li>Step 5: Multiply \u2192 2 \u00d7 19 = 38<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 38<\/p>\n\n\n\n<p><strong>Question 12: 3.5 \u00d7 (2.1 + 1.4)\u00b2<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Solve inside bracket \u2192 2.1 + 1.4 = 3.5<\/li>\n\n\n\n<li>Step 2: Apply exponent \u2192 3.5\u00b2 = 12.25<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 3.5 \u00d7 12.25 = 42.875<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 42.875<\/p>\n\n\n\n<p><strong>Question 13: (5 + \u00be) \u00d7 2 \u2212 1.5<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Add fraction \u2192 5 + \u00be = 5.75<\/li>\n\n\n\n<li>Step 2: Multiply \u2192 5.75 \u00d7 2 = 11.5<\/li>\n\n\n\n<li>Step 3: Subtract \u2192 11.5 \u2212 1.5 = 10<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 10<\/p>\n\n\n\n<p><strong>Question 14: 2 \u00d7 10\u00b3 \u00f7 (5 \u00d7 2)<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Multiply inside bracket \u2192 5 \u00d7 2 = 10<\/li>\n\n\n\n<li>Step 2: Scientific notation \u2192 2 \u00d7 10\u00b3 = 2000<\/li>\n\n\n\n<li>Step 3: Divide \u2192 2000 \u00f7 10 = 200<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 200<\/p>\n\n\n\n<p><strong>Question 15: [(6 + 2) \u00d7 (5 \u2212 3)]\u00b2 \u00f7 4<\/strong><\/p>\n\n\n\n<p>Step-by-Step Solution:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Solve first bracket \u2192 6 + 2 = 8<\/li>\n\n\n\n<li>Step 2: Solve second bracket \u2192 5 \u2212 3 = 2<\/li>\n\n\n\n<li>Step 3: Multiply \u2192 8 \u00d7 2 = 16<\/li>\n\n\n\n<li>Step 4: Apply exponent \u2192 16\u00b2 = 256<\/li>\n\n\n\n<li>Step 5: Divide \u2192 256 \u00f7 4 = 64<\/li>\n<\/ul>\n\n\n\n<p><strong>Answer:<\/strong> 64<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read:<\/strong><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-quiz-questions-related-to-maths\/\"><strong> Quiz Questions Related to Maths<\/strong><\/a><\/p>\n\n\n\n<h2 id=\"bodmas-comprehensive-question-set\" class=\"wp-block-heading\">BODMAS Comprehensive Question Set<\/h2>\n\n\n\n<p>This question set contains 100 mixed BODMAS questions designed to test and improve arithmetic skills, logical reasoning, and accuracy. Questions cover addition, subtraction, multiplication, division, brackets, powers, fractions, decimals, and scientific notation.&nbsp;<\/p>\n\n\n\n<p>Students are expected to solve each problem step by step, strictly following the BODMAS rule:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5 + 3 \u00d7 2<\/li>\n\n\n\n<li>(4 + 6) \u00d7 2<\/li>\n\n\n\n<li>12 \u00f7 3 + 4<\/li>\n\n\n\n<li>7 \u00d7 2 \u2212 5<\/li>\n\n\n\n<li>(8 \u2212 3) + 6 \u00f7 2<\/li>\n\n\n\n<li>9 \u2212 3 \u00d7 2<\/li>\n\n\n\n<li>(5 + 2) \u00d7 3<\/li>\n\n\n\n<li>10 \u00f7 2 + 6<\/li>\n\n\n\n<li>4 \u00d7 3 + 7<\/li>\n\n\n\n<li>(3 + 5) \u00d7 (2 + 1)<\/li>\n\n\n\n<li>(8 + 2) \u00d7 (6 \u2212 4)<\/li>\n\n\n\n<li>2\u00b3 + 4 \u00d7 5<\/li>\n\n\n\n<li>3 \u00d7 (4 + (2 \u00d7 5))<\/li>\n\n\n\n<li>\u00bd + \u00be \u00d7 2<\/li>\n\n\n\n<li>(5 + 3) \u00d7 (6 \u00f7 2)<\/li>\n\n\n\n<li>4\u00b2 + 6 \u00f7 3<\/li>\n\n\n\n<li>(7 \u2212 2) \u00d7 (3 + 1)<\/li>\n\n\n\n<li>3 \u00d7 (5 + 2\u00b2)<\/li>\n\n\n\n<li>1\/3 \u00d7 6 + 2<\/li>\n\n\n\n<li>(2 + 3)\u00b2 \u2212 5<\/li>\n\n\n\n<li>2 \u00d7 [3 + (4 \u00d7 5 \u2212 2\u00b2)]<\/li>\n\n\n\n<li>3.5 \u00d7 (2.1 + 1.4)\u00b2<\/li>\n\n\n\n<li>(5 + \u00be) \u00d7 2 \u2212 1.5<\/li>\n\n\n\n<li>2 \u00d7 10\u00b3 \u00f7 (5 \u00d7 2)<\/li>\n\n\n\n<li>(1.5 + 2.25) \u00d7 3 \u2212 4<\/li>\n\n\n\n<li>4 \u00d7 [3 + (6 \u00f7 2)\u00b2]<\/li>\n\n\n\n<li>3.6 \u00f7 (0.6 + 0.4) \u00d7 2<\/li>\n\n\n\n<li>(2 + 3\/5) \u00d7 (5 \u2212 1.2)<\/li>\n\n\n\n<li>10\u00b3 \u00f7 [2 \u00d7 (5 \u2212 3)]<\/li>\n\n\n\n<li>1.5\u00b2 + 2 \u00d7 (3 \u2212 1)<\/li>\n\n\n\n<li>6 + 2 \u00d7 4 \u2212 3<\/li>\n\n\n\n<li>(9 \u2212 5) \u00d7 2 + 6<\/li>\n\n\n\n<li>12 \u00f7 (2 + 4) + 3<\/li>\n\n\n\n<li>7 \u00d7 (3 + 1) \u2212 5<\/li>\n\n\n\n<li>(5 + 7) \u00f7 3 \u00d7 2<\/li>\n\n\n\n<li>3\u00b2 + 5 \u00d7 2 \u2212 4<\/li>\n\n\n\n<li>4 \u00d7 (2 + 6 \u00f7 2)<\/li>\n\n\n\n<li>(8 \u00f7 2) + (6 \u00d7 3)<\/li>\n\n\n\n<li>5 + 3\u00b2 \u00d7 2<\/li>\n\n\n\n<li>(3 + 2) \u00d7 (4 \u2212 1)<\/li>\n\n\n\n<li>2 \u00d7 (5 + 3 \u00d7 2)<\/li>\n\n\n\n<li>(6 + 4) \u00f7 2 + 7<\/li>\n\n\n\n<li>3\u00b3 \u2212 4 \u00d7 2<\/li>\n\n\n\n<li>(8 \u2212 3) \u00d7 (2 + 5)<\/li>\n\n\n\n<li>\u00bd \u00d7 (4 + 6) \u2212 1<\/li>\n\n\n\n<li>5 \u00d7 (3 + 2\u00b2) \u00f7 2<\/li>\n\n\n\n<li>(7 + 3)\u00b2 \u2212 10<\/li>\n\n\n\n<li>2 \u00d7 [6 \u2212 (2 + 3)]<\/li>\n\n\n\n<li>4.5 + 2.5 \u00d7 3<\/li>\n\n\n\n<li>(3\/4 + 1\/2) \u00d7 8<\/li>\n\n\n\n<li>6\u00b2 \u00f7 (3 + 3)<\/li>\n\n\n\n<li>5 \u00d7 (4 \u2212 1) + 7<\/li>\n\n\n\n<li>(2 + 3 \u00d7 2) \u00d7 2<\/li>\n\n\n\n<li>3\u00b2 + 6 \u00f7 3 \u2212 1<\/li>\n\n\n\n<li>(9 \u2212 4) \u00d7 (2 + 3)<\/li>\n\n\n\n<li>\u00bd \u00d7 8 + 3<\/li>\n\n\n\n<li>7 + (6 \u00f7 2 \u00d7 3)<\/li>\n\n\n\n<li>(5 + 1) \u00d7 (4 \u2212 2)<\/li>\n\n\n\n<li>2\u00b3 \u00d7 (5 \u2212 3) + 4<\/li>\n\n\n\n<li>(7 \u2212 3) \u00d7 (2\u00b2 + 1)<\/li>\n\n\n\n<li>3 \u00d7 [4 + (6 \u00f7 2)] \u2212 5<\/li>\n\n\n\n<li>1.2 + 3.4 \u00d7 2<\/li>\n\n\n\n<li>(5 + 2\/3) \u00d7 3 \u2212 1<\/li>\n\n\n\n<li>2 \u00d7 10\u00b2 \u00f7 (4 \u00d7 5)<\/li>\n\n\n\n<li>3\u00b2 + 4 \u00d7 (2 + 1)<\/li>\n\n\n\n<li>(8 \u2212 5) \u00d7 (3 + 4 \u00f7 2)<\/li>\n\n\n\n<li>\u00bd + 3 \u00d7 (4 \u2212 2)<\/li>\n\n\n\n<li>7 + (2\u00b3 \u00d7 2)<\/li>\n\n\n\n<li>(6 + 3) \u00f7 (2 + 1)<\/li>\n\n\n\n<li>4 \u00d7 (5 \u2212 3) + 6<\/li>\n\n\n\n<li>(2 + 3)\u00b2 \u00f7 5<\/li>\n\n\n\n<li>1\/2 \u00d7 (6 + 4) + 3<\/li>\n\n\n\n<li>5\u00b2 \u2212 (3 \u00d7 2)<\/li>\n\n\n\n<li>(7 \u2212 2 \u00d7 3) + 6<\/li>\n\n\n\n<li>2 \u00d7 [5 + (3\u00b2 \u2212 1)]<\/li>\n\n\n\n<li>4.5 \u00d7 (2 + 3.5)<\/li>\n\n\n\n<li>(3\/5 + 2\/5) \u00d7 10<\/li>\n\n\n\n<li>6\u00b2 \u00f7 (4 + 2)<\/li>\n\n\n\n<li>5 \u00d7 (3 + 2) \u2212 4<\/li>\n\n\n\n<li>(8 \u2212 3) \u00d7 (2 + 1)\u00b2<\/li>\n\n\n\n<li>2 \u00d7 [4 + (6 \u00f7 3)]<\/li>\n\n\n\n<li>3.2 + 1.8 \u00d7 2<\/li>\n\n\n\n<li>(7 + 1\/2) \u00d7 2 \u2212 1<\/li>\n\n\n\n<li>2 \u00d7 10\u00b3 \u00f7 (5 \u00d7 4)<\/li>\n\n\n\n<li>3\u00b2 + 5 \u00d7 (2 + 1)<\/li>\n\n\n\n<li>(9 \u2212 4) \u00d7 (3 + 2)<\/li>\n\n\n\n<li>\u00bd \u00d7 10 + 3<\/li>\n\n\n\n<li>6 + (4 \u00f7 2 \u00d7 3)<\/li>\n\n\n\n<li>(5 + 3) \u00d7 (4 \u2212 1)<\/li>\n\n\n\n<li>2\u00b3 \u00d7 (6 \u2212 2) + 5<\/li>\n\n\n\n<li>(7 \u2212 3) \u00d7 (2\u00b2 + 2)<\/li>\n\n\n\n<li>3 \u00d7 [5 + (4 \u00f7 2)] \u2212 2<\/li>\n\n\n\n<li>1.5 + 2.5 \u00d7 4<\/li>\n\n\n\n<li>(2 + 3\/4) \u00d7 4 \u2212 1<\/li>\n\n\n\n<li>2 \u00d7 10\u00b2 \u00f7 (5 \u00d7 2)<\/li>\n\n\n\n<li>3\u00b2 + 4 \u00d7 (3 \u2212 1)<\/li>\n\n\n\n<li>(8 \u2212 5) \u00d7 (2 + 3 \u00f7 1)<\/li>\n\n\n\n<li>\u00bd + 4 \u00d7 (3 \u2212 1)<\/li>\n\n\n\n<li>7 + (2\u00b3 \u00d7 3)<\/li>\n\n\n\n<li>(6 + 3) \u00f7 (3 \u2212 1) \u00d7 2<\/li>\n<\/ul>\n\n\n\n<h2 id=\"common-mistakes-to-avoid-in-bodmas-questions\" class=\"wp-block-heading\">Common Mistakes to Avoid in BODMAS Questions<\/h2>\n\n\n\n<p>When solving BODMAS questions, even small oversights can lead to incorrect answers. Being aware of frequent errors helps improve accuracy and speed.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always solve the innermost brackets first before moving to outer brackets.<\/li>\n\n\n\n<li>Perform multiplication and division before addition and subtraction in any expression.<\/li>\n\n\n\n<li>Handle nested brackets step by step, simplifying one bracket at a time.<\/li>\n\n\n\n<li>Calculate powers and roots immediately after resolving brackets.<\/li>\n\n\n\n<li>Simplify fractions properly before performing any further operations.<\/li>\n\n\n\n<li>Keep decimal precision throughout all calculations until the final result.<\/li>\n\n\n\n<li>Pay close attention to negative numbers and their impact on operations.<\/li>\n\n\n\n<li>Solve complex expressions gradually to avoid making mistakes.<\/li>\n\n\n\n<li>Treat scientific notation correctly by handling powers of 10 first.<\/li>\n\n\n\n<li>Do not rush; always scan the entire expression carefully before starting.<\/li>\n<\/ul>\n\n\n\n<p>BODMAS is important for solving arithmetic and algebraic expressions accurately. By understanding the correct order of operations and practising regularly, students can improve speed, avoid common mistakes, and confidently tackle complex problems. Applying tips, tricks, and step-by-step reasoning ensures precision and builds a strong foundation for higher-level math and competitive exams.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span id=\"faqs\">FAQs<\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1597762438469\"><strong class=\"schema-faq-question\"><strong>What is the <\/strong>BODMAS rule, for<strong> example?<\/strong><\/strong> <p class=\"schema-faq-answer\">Answer: The BODMAS rule suggests that while solving a complex equation comprising various operations, we must follow BODMAS in order to further solve the problem. <br \/>For example: (2 + 3 ) x 4<br \/>We will first solve the brackets as per the BODMAS rule, 5 x 3 and then multiply. So, the answer is 20!<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1597762448100\"><strong class=\"schema-faq-question\"><strong>What is the rule of BODMAS Question?<\/strong><\/strong> <p class=\"schema-faq-answer\">Answer: BODMAS rule stands for <strong>B<\/strong>rackets, <strong>O<\/strong>f, <strong>D<\/strong>ivision, <strong>M<\/strong>ultiplication, <strong>A<\/strong>ddition and <strong>S<\/strong>ubtraction. It states the order of operations according to which we can solve a complex problem.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1597762448287\"><strong class=\"schema-faq-question\"><strong>How do you simplify Bar Questions?<\/strong><\/strong> <p class=\"schema-faq-answer\">Answer: The bar questions denote that the operations under the bar must be given preference, followed by BODMAS, while solving a particular equation.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1597762480069\"><strong class=\"schema-faq-question\"><strong>Does BODMAS apply when there are no brackets?<\/strong><\/strong> <p class=\"schema-faq-answer\">Answer: Yes, BODMAS is applied even to places where there are no brackets. In such a case, we just work on the other operations.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732096979422\"><strong class=\"schema-faq-question\">What does BODMAS stand for in mathematics?<\/strong> <p class=\"schema-faq-answer\">Answer: BODMAS is an acronym representing the order of operations: <strong>Brackets<\/strong>, <strong>Orders<\/strong>, <strong>Division<\/strong>, <strong>Multiplication<\/strong>, <strong>Addition<\/strong>, and <strong>Subtraction<\/strong>. It is a set of rules used to specifies the order in which operations should be performed in a mathematical expression. According to BODMAS, calculations are performed in the following order:<br \/><strong>Brackets<\/strong><br \/><strong>Orders<\/strong> (exponents or powers)<br \/><strong>Division<\/strong><br \/><strong>Multiplication<\/strong><br \/><strong>Addition<\/strong><br \/><strong>Subtraction<\/strong><\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097013276\"><strong class=\"schema-faq-question\">Ques. Why are BODMAS Questions important in mathematics?<\/strong> <p class=\"schema-faq-answer\">Answer: BODMAS question are crucial because it provides a clear and standardized method for solving mathematical expressions. Without following BODMAS, different people might interpret and solve the same problem in different ways, leading to inconsistent results. It ensures that calculations are carried out logically, minimizing errors and confusion.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097045972\"><strong class=\"schema-faq-question\">How does BODMAS apply to negative numbers?<\/strong> <p class=\"schema-faq-answer\">Answer: When negative numbers are involved, BODMAS still applies, but extra caution is needed while performing operations like multiplication or division. For example, in an expression like -2 \u00d7 (4 + 3), first, solve inside the brackets: 4 + 3 = 7, then multiply by -2: -2 \u00d7 7 = -14.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097061809\"><strong class=\"schema-faq-question\">What is the difference between BODMAS and PEMDAS?<\/strong> <p class=\"schema-faq-answer\">Answer: BODMAS and PEMDAS are essentially the same rules, but the acronym differs. PEMDAS stands for Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, while BODMAS stands for Brackets, Orders, Division and Multiplication, Addition and Subtraction. The order of operations is the same; only the terms are named differently.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097081866\"><strong class=\"schema-faq-question\">How do you solve a BODMAS Question with multiple brackets?<\/strong> <p class=\"schema-faq-answer\">Answer: If there are multiple brackets in BODMAS question, start by solving the innermost bracket first and then work outward. For example, for the expression (3 + (2 \u00d7 4)) \u00f7 2, first calculate 2 \u00d7 4 = 8, then add it to 3 to get 3 + 8 = 11, and finally, divide by 2 to get 11 \u00f7 2 = 5.5.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097094672\"><strong class=\"schema-faq-question\">What are some common mistakes when solving BODMAS Question?<\/strong> <p class=\"schema-faq-answer\">Answer: Common mistakes include:<br \/>&#8211; Ignoring the order of operations (e.g., performing addition before multiplication).<br \/>&#8211; Misinterpreting brackets, especially when nested.<br \/>&#8211; Incorrectly applying negative signs with multiplication or division.<br \/>&#8211; Skipping steps like dividing before multiplication when they appear in the same expression.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097124011\"><strong class=\"schema-faq-question\">What happens if you don\u2019t follow BODMAS rule?<\/strong> <p class=\"schema-faq-answer\">Answer: If you don\u2019t follow the BODMAS rule, the results of the expression may be incorrect. For example, changing the order of operations in a problem can lead to vastly different answers. This makes BODMAS critical for obtaining the correct result in mathematical calculations.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097138106\"><strong class=\"schema-faq-question\">How does BODMAS affect algebraic expressions?<\/strong> <p class=\"schema-faq-answer\">Answer: In algebraic expressions, BODMAS is used to prioritize operations in the same way as numerical expressions. For instance, when simplifying or solving algebraic equations like 3x + (2x &#8211; 4) \u00f7 2, the operations inside brackets must be resolved first, followed by division, and then addition\/subtraction.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097156667\"><strong class=\"schema-faq-question\">What role do exponents play in BODMAS Questions?<\/strong> <p class=\"schema-faq-answer\">Answer: Exponents (or orders) are an essential part of BODMAS, following brackets. For instance, in the expression 2 + 3 \u00d7 2\u00b2, you first calculate the exponent (2\u00b2 = 4), then perform the multiplication (3 \u00d7 4 = 12), and finally, add 2 (2 + 12 = 14).<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1732097176384\"><strong class=\"schema-faq-question\">Can a BODMAS expression contain multiple operations?<\/strong> <p class=\"schema-faq-answer\">Answer: Yes, a BODMAS expression can contain several operations. It can include multiple brackets, exponents, divisions, multiplications, additions, and subtractions. For example, in the expression (5 + 3) \u00d7 (4\u00b2 \u00f7 2) &#8211; 6, multiple operations are used, and the order of execution must follow the BODMAS rule to get the correct answer.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1733121500705\"><strong class=\"schema-faq-question\">Solve this BODMAS question for Class 4:<br \/>(3+2)\u00d74<\/strong> <p class=\"schema-faq-answer\">Answer: First, solve the bracket: (3+2)<br \/>3 + 2 = 5<br \/>Now, multiply by 4:<br \/>5\u00d74=20<br \/><strong>Answer:<\/strong> 20<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1733121644137\"><strong class=\"schema-faq-question\">Simplify this BODMAS question for Class 5:<br \/>12+(6\u00f72)\u22124<\/strong> <p class=\"schema-faq-answer\">Answer: first, divide inside the bracket:<br \/>6\u00f72=3<br \/>Now, perform the remaining operations:<br \/>12+3\u22124=15\u22124=11<br \/><strong>Answer: <\/strong>11<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1733121606948\"><strong class=\"schema-faq-question\">Solve this BODMAS question for Class 6:<br \/>(8+2)\u00d75\u221210\u00f72<\/strong> <p class=\"schema-faq-answer\">Answer: First, solve the bracket:<br \/>8+2=10<br \/>Now, do the multiplication and division:<br \/>10\u00d75=50<br \/>10\u00f72=5<br \/>Finally, subtract:<br \/>50\u22125=45<br \/>Answer: 45<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1733121612907\"><strong class=\"schema-faq-question\">Solve this BODMAS question for Class 7:<br \/>(3+2)\u00d74<\/strong> <p class=\"schema-faq-answer\">Answer: First, solve inside the brackets:<br \/>3\u00d72=6<br \/>6\u00f76=1<br \/>Now, perform the remaining operations:<br \/>15+1\u22124 <br \/>= 16\u22124<br \/>=12<br \/>Answer: 12<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1733121619444\"><strong class=\"schema-faq-question\">Solve this BODMAS question for Class 8:<br \/>[25\u00f7(5+5)]\u00d78\u221212<\/strong> <p class=\"schema-faq-answer\">Answer: First, solve inside the bracket:<br \/>5+5=10<br \/>Now, divide:<br \/>25\u00f710 = 2.5<br \/>Then, multiply by 8:<br \/>2.5\u00d78=20<br \/>Finally, subtract:<br \/>20\u221212=8<br \/>Answer: 8<\/p> <\/div> <\/div>\n\n\n\n<p>We hope this blog on the topic \u2018BODMAS Questions\u2019 helped you learn something new. To explore more, follow <a href=\"https:\/\/leverageedu.com\/\"><strong>Leverage Edu<\/strong><\/a> now.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-pale-ocean-gradient-background has-background has-fixed-layout\"><tbody><tr><td colspan=\"2\"><strong>Related Reads<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/learn\/sat-math-syllabus\/\"><strong>SAT Math Syllabus 2024: Check Updated Maths Syllabus<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/learn\/bsc-anatomy\/\"><strong>BSc Anatomy: Jobs, Scope, Salary, Syllabus<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/learn\/mathematics-admissions-test\/\"><strong>What is the Mathematics Admissions Test for Oxford?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/learn\/physiotherapy-courses-in-canada\/\"><strong>Study Physiotherapy Courses in Canada: Fees, Colleges, Requirements, Scope<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"Mathematics can often seem overwhelming, especially when dealing with complex expressions that involve multiple operations. The BODMAS rule&hellip;\n","protected":false},"author":14,"featured_media":823833,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[18298,6485,14713],"tags":[],"class_list":{"0":"post-63079","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-cbse-guide","8":"category-competitive-exams","9":"category-mathematics"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>How to Solve BODMAS Questions: Tips, Sample, Worksheets<\/title>\n<meta name=\"description\" content=\"Discover BODMAS questions and rule is with examples. 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So, the answer is 20!","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1597762448100","position":2,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1597762448100","name":"What is the rule of BODMAS Question?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: BODMAS rule stands for <strong>B<\/strong>rackets, <strong>O<\/strong>f, <strong>D<\/strong>ivision, <strong>M<\/strong>ultiplication, <strong>A<\/strong>ddition and <strong>S<\/strong>ubtraction. It states the order of operations according to which we can solve a complex problem.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1597762448287","position":3,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1597762448287","name":"How do you simplify Bar Questions?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: The bar questions denote that the operations under the bar must be given preference, followed by BODMAS, while solving a particular equation.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1597762480069","position":4,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1597762480069","name":"Does BODMAS apply when there are no brackets?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: Yes, BODMAS is applied even to places where there are no brackets. In such a case, we just work on the other operations.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732096979422","position":5,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732096979422","name":"What does BODMAS stand for in mathematics?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: BODMAS is an acronym representing the order of operations: <strong>Brackets<\/strong>, <strong>Orders<\/strong>, <strong>Division<\/strong>, <strong>Multiplication<\/strong>, <strong>Addition<\/strong>, and <strong>Subtraction<\/strong>. It is a set of rules used to specifies the order in which operations should be performed in a mathematical expression. According to BODMAS, calculations are performed in the following order:<br \/><strong>Brackets<\/strong><br \/><strong>Orders<\/strong> (exponents or powers)<br \/><strong>Division<\/strong><br \/><strong>Multiplication<\/strong><br \/><strong>Addition<\/strong><br \/><strong>Subtraction<\/strong>","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097013276","position":6,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097013276","name":"Ques. Why are BODMAS Questions important in mathematics?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: BODMAS question are crucial because it provides a clear and standardized method for solving mathematical expressions. Without following BODMAS, different people might interpret and solve the same problem in different ways, leading to inconsistent results. It ensures that calculations are carried out logically, minimizing errors and confusion.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097045972","position":7,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097045972","name":"How does BODMAS apply to negative numbers?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: When negative numbers are involved, BODMAS still applies, but extra caution is needed while performing operations like multiplication or division. For example, in an expression like -2 \u00d7 (4 + 3), first, solve inside the brackets: 4 + 3 = 7, then multiply by -2: -2 \u00d7 7 = -14.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097061809","position":8,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097061809","name":"What is the difference between BODMAS and PEMDAS?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: BODMAS and PEMDAS are essentially the same rules, but the acronym differs. PEMDAS stands for Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, while BODMAS stands for Brackets, Orders, Division and Multiplication, Addition and Subtraction. The order of operations is the same; only the terms are named differently.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097081866","position":9,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097081866","name":"How do you solve a BODMAS Question with multiple brackets?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: If there are multiple brackets in BODMAS question, start by solving the innermost bracket first and then work outward. For example, for the expression (3 + (2 \u00d7 4)) \u00f7 2, first calculate 2 \u00d7 4 = 8, then add it to 3 to get 3 + 8 = 11, and finally, divide by 2 to get 11 \u00f7 2 = 5.5.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097094672","position":10,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097094672","name":"What are some common mistakes when solving BODMAS Question?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: Common mistakes include:<br \/>- Ignoring the order of operations (e.g., performing addition before multiplication).<br \/>- Misinterpreting brackets, especially when nested.<br \/>- Incorrectly applying negative signs with multiplication or division.<br \/>- Skipping steps like dividing before multiplication when they appear in the same expression.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097124011","position":11,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097124011","name":"What happens if you don\u2019t follow BODMAS rule?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: If you don\u2019t follow the BODMAS rule, the results of the expression may be incorrect. For example, changing the order of operations in a problem can lead to vastly different answers. This makes BODMAS critical for obtaining the correct result in mathematical calculations.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097138106","position":12,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097138106","name":"How does BODMAS affect algebraic expressions?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: In algebraic expressions, BODMAS is used to prioritize operations in the same way as numerical expressions. For instance, when simplifying or solving algebraic equations like 3x + (2x - 4) \u00f7 2, the operations inside brackets must be resolved first, followed by division, and then addition\/subtraction.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097156667","position":13,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097156667","name":"What role do exponents play in BODMAS Questions?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: Exponents (or orders) are an essential part of BODMAS, following brackets. For instance, in the expression 2 + 3 \u00d7 2\u00b2, you first calculate the exponent (2\u00b2 = 4), then perform the multiplication (3 \u00d7 4 = 12), and finally, add 2 (2 + 12 = 14).","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097176384","position":14,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1732097176384","name":"Can a BODMAS expression contain multiple operations?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: Yes, a BODMAS expression can contain several operations. It can include multiple brackets, exponents, divisions, multiplications, additions, and subtractions. For example, in the expression (5 + 3) \u00d7 (4\u00b2 \u00f7 2) - 6, multiple operations are used, and the order of execution must follow the BODMAS rule to get the correct answer.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121500705","position":15,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121500705","name":"Solve this BODMAS question for Class 4: (3+2)\u00d74","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: First, solve the bracket: (3+2)<br \/>3 + 2 = 5<br \/>Now, multiply by 4:<br \/>5\u00d74=20<br \/><strong>Answer:<\/strong> 20","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121644137","position":16,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121644137","name":"Simplify this BODMAS question for Class 5: 12+(6\u00f72)\u22124","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: first, divide inside the bracket:<br \/>6\u00f72=3<br \/>Now, perform the remaining operations:<br \/>12+3\u22124=15\u22124=11<br \/><strong>Answer: <\/strong>11","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121606948","position":17,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121606948","name":"Solve this BODMAS question for Class 6: (8+2)\u00d75\u221210\u00f72","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: First, solve the bracket:<br \/>8+2=10<br \/>Now, do the multiplication and division:<br \/>10\u00d75=50<br \/>10\u00f72=5<br \/>Finally, subtract:<br \/>50\u22125=45<br \/>Answer: 45","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121612907","position":18,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121612907","name":"Solve this BODMAS question for Class 7: (3+2)\u00d74","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: First, solve inside the brackets:<br \/>3\u00d72=6<br \/>6\u00f76=1<br \/>Now, perform the remaining operations:<br \/>15+1\u22124 <br \/>= 16\u22124<br \/>=12<br \/>Answer: 12","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121619444","position":19,"url":"https:\/\/leverageedu.com\/blog\/bodmas-questions\/#faq-question-1733121619444","name":"Solve this BODMAS question for Class 8: [25\u00f7(5+5)]\u00d78\u221212","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Answer: First, solve inside the bracket:<br \/>5+5=10<br \/>Now, divide:<br \/>25\u00f710 = 2.5<br \/>Then, multiply by 8:<br \/>2.5\u00d78=20<br \/>Finally, subtract:<br \/>20\u221212=8<br \/>Answer: 8","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/posts\/63079","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/comments?post=63079"}],"version-history":[{"count":21,"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/posts\/63079\/revisions"}],"predecessor-version":[{"id":828733,"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/posts\/63079\/revisions\/828733"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/media\/823833"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/media?parent=63079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/categories?post=63079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/blog\/wp-json\/wp\/v2\/tags?post=63079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}